What is the Least Common Multiple of 45405 and 45411?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 45405 and 45411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45405 and 45411, than apply into the LCM equation.

GCF(45405,45411) = 3
LCM(45405,45411) = ( 45405 × 45411) / 3
LCM(45405,45411) = 2061886455 / 3
LCM(45405,45411) = 687295485

Least Common Multiple (LCM) of 45405 and 45411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45405 and 45411. First we will calculate the prime factors of 45405 and 45411.

Prime Factorization of 45405

Prime Factorization of 45411

Now multiplying the highest exponent prime factors to calculate the LCM of 45405 and 45411.

LCM(45405,45411) = 3² × 5¹ × 1009¹ × 15137¹
LCM(45405,45411) = 687295485